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A163793 a(n) is the n-th J_13-prime (Josephus_13 prime) Place the numbers 1..N (N>=2) on a circle and cyclicly mark the 13th unmarked number until all N umbers are marked. The order in which the N numbers are marked defines a permutation; N is a J_13-prime if this permutation consists of a single cycle of length N. 2
5, 57, 117, 187, 251, 273, 275, 665, 2511, 40393, 48615, 755921, 970037 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

There are 13 J_13-primes in the interval 2..1000000 only. No formula is known; the J_13-primes have been found by exhaustive search.

REFERENCES

R. L. Graham, D.E. Knuth & O. Patashnik, Concrete Mathematics (1989), Addison-Wesley, Reading, MA. Sections 1.3 & 3.3.

LINKS

P. R. J. Asveld, Permuting Operations on Strings  and Their Relation to Prime Numbers, Discrete Applied Mathematics 159 (2011) 1915-1932.

EXAMPLE

All J_13-primes are odd.

CROSSREFS

A163782 through A163792 for J_2- through J_12-primes. A163794 through A163800 for J_14- through J_20-primes.

Sequence in context: A060080 A203522 A180874 * A076455 A196650 A197454

Adjacent sequences:  A163790 A163791 A163792 * A163794 A163795 A163796

KEYWORD

nonn

AUTHOR

P. R. J. Asveld (infprja(AT)cs.utwente.nl), Aug 04 2009

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Last modified February 15 23:53 EST 2012. Contains 205860 sequences.